\nFind the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.
\n
![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-Grade-4-Module-6-Lesson-5-Problem-Set-Answer-Key-1.png\")
<\/p>\nQuestion 1.
\nFind the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.
\n<\/p>\n
Answer:
\na. 3\u00a0 x\u00a0 10 = 30.
\n10 x 10 = 100.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3 x 10 = 30.
\n10 x 10 = 100.
\n30\/100 = 0.3.<\/p>\n
Answer:
\na. 50\u00a0 \/\u00a0 10 = 5.
\n100 \/ 10 = 10.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n50 \/ 10 = 5.
\n100 \/ 10 = 10.
\n5\/10 = 0.5.<\/p>\n
![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-1.png\")
<\/p>\n
Question 2.
\nComplete the number sentences. Shade the equivalent amount on the area model, drawing horizontal lines to make hundredths.
\na. 37 hundredths = ___3__tenths + __7__ hundredths
\nFraction form: __37\/100____
\nDecimal form: __0.37____
\n![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-Grade-4-Module-6-Lesson-5-Problem-Set-Answer-Key-2.png\")
<\/p>\n
Answer:
\n37 hundredths = 3 tenths + 7 hundredths.
\nfraction form = 37\/100.
\ndecimal form = 0.37.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3 tenths = 3\/10 = 0.3.
\n7 hundredths = 7\/100 = 0.07.
\n0.3 + 0.07 = 0.37.
\n37 hundredths = 3 tenths + 7 hundredths.
\nfraction form = 37\/100.
\ndecimal form = 0.37.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-2.png\")
<\/p>\n
b. 75 hundredths = __7__ tenths + __5__ hundredths
\nFraction form: __75\/100____
\nDecimal form: __0.75____
\n![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-Grade-4-Module-6-Lesson-5-Problem-Set-Answer-Key-3.png\")
<\/p>\n
Answer:
\n75 hundredths = 7 tenths + 5 hundredths.
\nfraction form = 75\/100.
\ndecimal form = 0.75.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7 tenths = 7\/10 = 0.7.
\n5 hundredths = 5\/100 = 0.05.
\n0.7 + 0.05 = 0.75.
\n75 hundredths = 7 tenths + 5 hundredths.
\nfraction form = 75\/100.
\ndecimal form = 0.75.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-3.png\")
<\/p>\n
Question 3.
\nCircle hundredths to compose as many tenths as you can. Complete the number sentences. Represent each with a number bond as shown.
\na. ![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-Grade-4-Module-6-Lesson-5-Problem-Set-Answer-Key-4.png\")
<\/p>\n
Answer:
\n12 hundredths = 1 tenths + 2 hundredths.
\nfraction form = 12\/100.
\ndecimal form = 0.12.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n1 tenths = 1\/10 = 0.1.
\n2 hundredths = 2\/100 = 0.02.
\n0.1 + 0.02 = 0.12.
\n12 hundredths = 1 tenths + 2 hundredths.
\nfraction form = 12\/100.
\ndecimal form = 0.12.<\/p>\n
b. ![\"Engage](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-Grade-4-Module-6-Lesson-5-Problem-Set-Answer-Key-5.png\")
\n_27___ hundredths = ___2__ tenths + __7___ hundredths<\/p>\n
Answer:
\n27 hundredths = 2 tenths + 7 hundredths.
\nfraction form = 27\/100.
\ndecimal form = 0.27.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n2 tenths = 2\/10 = 0.2.
\n7 hundredths = 7\/100 = 0.07.
\n0.2 + 0.07 = 0.27.
\n27 hundredths = 2 tenths + 7 hundredths.
\nfraction form = 27\/100.
\ndecimal form = 0.27.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-4.png\")
<\/p>\n
Question 4.
\nUse both tenths and hundredths place value disks to represent each number. Write the equivalent number in decimal, fraction, and unit form.
\na. \\(\\frac{3}{100}\\) = 0. _03_____
\n___3__ hundredths<\/p>\n
Answer:
\n3 hundredths = 0 tenths + 3 hundredths.
\nfraction form = 3\/100.
\ndecimal form = 0.03.
\nunit form = 300.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n0 tenths = 0\/10 = 0.
\n3 hundredths = 3\/100 = 0.03.
\n0 + 0.03 = 0.03.
\n3 hundredths = 0 tenths + 3 hundredths.
\nfraction form = 3\/100.
\ndecimal form = 0.03.
\nunit form = 300.<\/p>\n
b. \\(\\frac{15}{100}\\) = 0. __15____
\n__1___ tenth __5___ hundredths<\/p>\n
Answer:
\n15 hundredths = 1 tenths + 5 hundredths.
\nfraction form = 15\/100.
\ndecimal form = 0.15
\nunit form = 250.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n1 tenths = 1\/10 = 0.1
\n5 hundredths = 5\/100 = 0.15.
\n0.1 + 0.15 = 0.25.
\n15 hundredths = 1 tenths + 5 hundredths.
\nfraction form = 15\/100.
\ndecimal form = 0.15.
\nunit form = 250.<\/p>\n
c. __72\/100___ = 0.72
\n__72___ hundredths<\/p>\n
Answer:
\n72 hundredths = 7 tenths + 2 hundredths.
\nfraction form = 72\/100.
\ndecimal form = 0.72.
\nunit form = 720.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7 tenths = 7\/10 = 0.7.
\n2 hundredths = 2\/100 = 0.02.
\n0.7 + 0.02 = 0.72.
\n72 hundredths = 7 tenths + 2 hundredths.
\nfraction form = 72\/100.
\ndecimal form = 0.72.
\nunit form = 720.<\/p>\n
d. \\(\\frac{}{}\\) = 0.80
\n__8___ tenths<\/p>\n
Answer:
\n8 hundredths = 0 tenths + 8 hundredths.
\nfraction form = 8\/100.
\ndecimal form = 0.08.
\nunit form = 800.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n0 tenths = 0\/10 = 0.
\n8 hundredths = 8\/100 = 0.08.
\n0 + 0.08 = 0.08.
\n8 hundredths = 0 tenths + 8 hundredths.
\nfraction form = 8\/100.
\ndecimal form = 0.08.
\nunit form = 800.<\/p>\n
e. \\(\\frac{}{}\\) = 0. __72___
\n7 tenths 2 hundredths<\/p>\n
Answer:
\n72 hundredths = 7 tenths + 2 hundredths.
\nfraction form = 72\/100.
\ndecimal form = 0.72.
\nunit form = 700.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7 tenths = 7\/10 = 0.7.
\n2 hundredths = 2\/100 = 0.02.
\n0.7 + 0.02 = 0.72.
\n72 hundredths = 7 tenths + 2 hundredths.
\nfraction form = 72\/100.
\ndecimal form = 0.72.
\nunit form = 700.<\/p>\n
f. \\(\\frac{}{}\\) = 0. __80____
\n80 hundredths<\/p>\n
Answer:
\n80 hundredths = 8 tenths + 0 hundredths.
\nfraction form = 8\/10.
\ndecimal form = 0.8.
\nunit form = 80.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n8 tenths = 8\/10 = 0.8.
\n0 hundredths = 0\/100 = 0.
\n0.8 + 0 = 0.8.
\n80 hundredths = 8 tenths + 0 hundredths.
\nfraction form = 8\/10.
\ndecimal form = 0.8.
\nunit form = 80.<\/p>\n
Use both tenths and hundredths place value disks to represent each fraction. Write the equivalent decimal, and fill in the blanks to represent each in unit form.
\nQuestion 1.
\n\\(\\frac{7}{100}\\) = 0._07____
\n__7_ hundredths<\/p>\n
Answer:
\n7 hundredths = 0 tenths + 7 hundredths.
\nfraction form = 7\/100.
\ndecimal form = 0.07.
\nunit form = 700.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n0 tenths = 0\/10 = 0.
\n7 hundredths = 7\/100 = 0.07.
\n0 + 0.07 = 0.07.
\n7 hundredths = 0 tenths + 7 hundredths.
\nfraction form = 7\/100.
\ndecimal form = 0.07.
\nunit form = 700.<\/p>\n
Question 2.
\n\\(\\frac{34}{100}\\) = 0.__34___
\n_3__ tenths _4__ hundredths<\/p>\n
Answer:
\n34 hundredths = 3 tenths + 4 hundredths.
\nfraction form = 34\/100.
\ndecimal form = 0.34.
\nunit form = 340.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3 tenths = 3\/10 = 0.3.
\n4 hundredths = 4\/100 = 0.04.
\n0.3 + 0.04 = 0.04.
\n34 hundredths = 3 tenths + 4 hundredths.
\nfraction form = 34\/100.
\ndecimal form = 0.34.
\nunit form = 340.<\/p>\n
Question 1.
\nFind the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal.
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-6-Lesson-5-Homework-Answer-Key-1.png\")
<\/p>\n
Answer:
\n4 x 10 = 40.
\n10 x 10 = 100.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n4 x 10 = 40.
\n10 x 10 = 100.
\n4 x 10\/ 10 x 10.
\n40\/100 = 0.4.<\/p>\n
Answer:
\n60 \/ 10 = 6.
\n100 \/ 10 = 10.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n60 \/ 10 = 6.
\n100 \/ 10 = 10.
\n60 \/ 10\/ 100 \/ 10.
\n6\/10 = 0.6.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-5.png\")
<\/p>\n
Question 2.
\nComplete the number sentences. Shade the equivalent amount on the area model, drawing horizontal lines to make hundredths.
\na. 36 hundredths = ___3__ tenths + __6__ hundredths
\nDecimal form: ___0.36______
\nFraction form: ___36\/100______
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-6-Lesson-5-Homework-Answer-Key-2.png\")
<\/p>\n
Answer:
\n36 hundredths = 3 tenths + 6 hundredths.
\nfraction form = 36\/100.
\ndecimal form = 0.36.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3 tenths = 3\/10 = 0.3.
\n6 hundredths = 6\/100 = 0.06.
\n0.3 + 0.06 = 0.36.
\n36 hundredths = 3 tenths + 6 hundredths.
\nfraction form = 36\/100.
\ndecimal form = 0.36.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-6.png\")
<\/p>\n
b. 82 hundredths = __8__ tenths + _2___ hundredths
\nDecimal form: ____0.82_____
\nFraction form: __82\/100_______
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-6-Lesson-5-Homework-Answer-Key-3.png\")
<\/p>\n
Answer:
\n82 hundredths = 8 tenths + 2 hundredths.
\nfraction form = 82\/100.
\ndecimal form = 0.82.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n8 tenths = 8\/10 = 0.8.
\n2 hundredths = 2\/100 = 0.02.
\n0.8 + 0.02 = 0.82.
\n82 hundredths = 8 tenths + 2 hundredths.
\nfraction form = 82\/100.
\ndecimal form = 0.82.<\/p>\n
Question 3.
\nCircle hundredths to compose as many tenths as you can. Complete the number sentences. Represent each with a number bond as shown.
\na. ![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-6-Lesson-5-Homework-Answer-Key-4.png\")
\nb. ![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-4th-Grade-Module-6-Lesson-5-Homework-Answer-Key-5.png\")
\n__24__ hundredths = __2___ tenths + __4___ hundredths<\/p>\n
Answer:
\n24 hundredths = 2 tenths + 4 hundredths.
\nfraction form = 24\/100.
\ndecimal form = 0.24.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n2 tenths = 2\/10 = 0.2.
\n4 hundredths = 4\/100 = 0.04.
\n0.2 + 0.04 = 0.24.
\n24 hundredths = 2 tenths + 4 hundredths.
\nfraction form = 24\/100.
\ndecimal form = 0.24.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-5-Answer](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-5-Answer-Key-7.png\")
<\/p>\n
Question 4.
\nUse both tenths and hundredths place value disks to represent each number. Write the equivalent number in decimal, fraction, and unit form.
\na. \\(\\frac{4}{100}\\) = 0. _04____
\n__4___ hundredths<\/p>\n
Answer:
\n4 hundredths = 0 tenths + 4 hundredths.
\nfraction form = 4\/100.
\ndecimal form = 0.04.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n0 tenths = 0\/10 = 0.
\n4 hundredths = 4\/100 = 0.04.
\n0 + 0.04 = 0.04.
\n4 hundredths = 0 tenths + 4 hundredths.
\nfraction form = 4\/100.
\ndecimal form = 0.04.<\/p>\n
b. \\(\\frac{13}{100}\\) = 0. _13____
\n___1__tenth ___3__ hundredths<\/p>\n
Answer:
\n13 hundredths = 1 tenths + 3 hundredths.
\nfraction form = 13\/100.
\ndecimal form = 0.13.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n1 tenths = 1\/10 = 0.1.
\n3 hundredths = 3\/100 = 0.03.
\n0.1 + 0.03 = 0.13.
\n13 hundredths = 1 tenths + 3 hundredths.
\nfraction form = 13\/100.
\ndecimal form = 0.13.<\/p>\n
c. __41\/100___ = 0.41
\n___41__ hundredths<\/p>\n
Answer:
\n41 hundredths = 4 tenths + 1 hundredths.
\nfraction form = 41\/100.
\ndecimal form = 0.41.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n4 tenths = 4\/10 = 0.4.
\n1 hundredths = 1\/100 = 0.01.
\n0.4 + 0.01 = 0.41.
\n41 hundredths = 4 tenths + 1 hundredths.
\nfraction form = 41\/100.
\ndecimal form = 0.41.<\/p>\n
d. \\(\\frac{}{}\\) = 0.90
\n__9___ tenths<\/p>\n
Answer:
\n90 hundredths = 9 tenths + 0 hundredths.
\nfraction form = 90\/100.
\ndecimal form = 0.90.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n9 tenths = 9\/10 = 0.9.
\n0 hundredths = 0\/100 = 0.
\n0.9 + 0 = 0.9.
\n90 hundredths = 9 tenths + 0 hundredths.
\nfraction form = 90\/100.
\ndecimal form = 0.90.<\/p>\n
e. \\(\\frac{}{}\\) = 0. __63___
\n6 tenths 3 hundredths<\/p>\n
Answer:
\n63 hundredths = 6 tenths + 3 hundredths.
\nfraction form = 63\/100.
\ndecimal form = 0.63.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n6 tenths = 6\/10 = 0.6.
\n3 hundredths = 3\/100 = 0.03.
\n0.6 + 0.03 = 0.63.
\n63 hundredths = 6 tenths + 3 hundredths.
\nfraction form = 63\/100.
\ndecimal form = 0.63.<\/p>\n
f. \\(\\frac{1}{2}\\) = 0. _90___
\n90 hundredths<\/p>\n
Answer:
\n90 hundredths = 9 tenths + 0 hundredths.
\nfraction form = 90\/100.
\ndecimal form = 0.90.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n9 tenths = 9\/10 = 0.9.
\n0 hundredths = 0\/100 = 0.
\n0.9 + 0 = 0.9.
\n90 hundredths = 9 tenths + 0 hundredths.
\nfraction form = 90\/100.
\ndecimal form = 0.90.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 4th Grade Module 6 Lesson 5 Answer Key Eureka Math Grade 4 Module 6 Lesson 5 Problem Set Answer Key Question 1. Find the equivalent fraction using multiplication or division. Shade the area models to show the equivalency. Record it as a decimal. Answer: a. 3\u00a0 x\u00a0 10 = 30. 10 … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/59616"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=59616"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/59616\/revisions"}],"predecessor-version":[{"id":137474,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/59616\/revisions\/137474"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=59616"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=59616"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=59616"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}